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Finding the Fourth Proportional to 464,535, 696,871.76 and 164,990.48

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Solution

The fourth proportional to 464,535, 696,871.76 and 164,990.48 is: 247,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,535 : 696,871.76 = 164,990.48 : x
  2. Step 2: Convert to fraction form
    464,535/696,871.76 = 164,990.48/x
  3. Step 3: Cross multiply
    464,535x = 696,871.76 × 164,990.48
  4. Step 4: Simplify right side
    464,535x = 114,977,206,180.85
  5. Step 5: Solve for x
    x = 114,977,206,180.85/464,535
  6. Step 6: Final answer
    x = 247,510.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.